Question
The state education commission wants to estimate the fraction of tenth grade students that have reading...
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.
Step 1 of 2 : Suppose a sample of 421 tenth graders is drawn. Of the students sampled, 329 read above the eighth grade level. Using the data, estimate the proportion of tenth graders reading at or below the eighth grade level. Enter your answer as a fraction or a decimal number rounded to three decimal places.
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level.
Step 2 of 2 :
Suppose a sample of 421 tenth graders is drawn. Of the students sampled, 329 read above the eighth grade level. Using the data, construct the 85% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.
Answers
The statistic software output for this problem is:
Step 1)
The proportion = 0.781
Step 2
The 85% CI is :
(0.752 , 0.810)
One sample proportion summary confidence interval: P: Proportion of successes Method: Standard-Wald 85% confidence interval results: Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit 329 421 0.78147268 0.020140429 0.7524799 0.81046547
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